Multilayer Multidi mensional Extension Set Theory  

作　　者：曹少中 杨国为 涂序彦 

机构地区：[1]School of Information Science and Technology ,Beijing Institute of Technology [2]Institute of Pattern Recognition and Intelligent System, Qingdao University [3]School of Information Engineerig, University of Science and Technology Beijing

出　　处：《Journal of Beijing Institute of Technology》2006年第2期172-176,共5页北京理工大学学报（英文版）

基　　金：Sponsored bythe National Natural Science Foundation of China(60375014) ;the Shandong Province Natural Science Foundation(Y2002G16)

摘　　要：In brder to study the contradiction problem of multilayer multidimensional complex systems, the concepts of extension field and stable field of intersection and union of multilayer multidimensional extension set are given. Then the related operations and properties are discussed. The results of study expand the concepts of intersection and union of extension set to a general situation, and provide the theoretical basis for production of the concepts of intersection and union of multilayer multidimensional matter element system extension set. In this way, it will be possible that matter element system theory is used to creative designs of complex systems.In brder to study the contradiction problem of multilayer multidimensional complex systems, the concepts of extension field and stable field of intersection and union of multilayer multidimensional extension set are given. Then the related operations and properties are discussed. The results of study expand the concepts of intersection and union of extension set to a general situation, and provide the theoretical basis for production of the concepts of intersection and union of multilayer multidimensional matter element system extension set. In this way, it will be possible that matter element system theory is used to creative designs of complex systems.

关 键 词：multilayer multidimensional extension set extension field stable field 

分 类 号：O144[理学—数学] N94[理学—基础数学]